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Title: :  SECOND ORDER LINEAR DIFFERENTIAL EQUATION-A STUDY
PaperId: :  21341
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 8 Issue 3 2022
DUI:    16.0415/IJARIIE-21341
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
RAMU.S.T. GOVERNMENT FIRST GRADE COLLEGE K.R.NAGAR-571602

Abstract

MATHEMATICS
SECOND ORDER LINEAR, DEFFIRENTIAL EQUATION COEFFICIENT VARAIBLE PRINCIPLE OF SUPERPOSITION
Given real-valued functions ao, a1 and b such that ao(t), a1(t) and b(t) ∈ R ∀ t ∈ R, the differential equation of the form y” + a1(t) y’ + ao(t) y = b(t) is known as a second-order linear differential equation with variable coefficients. The variable coefficients are ao(t) and a1(t). If b(t) = 0 then the above equation is called a homogeneous second-order differential equation. In this section give an in depth discussion on the process used to solve homogeneous, linear, second order differential equations, ay′′+by′+cy=0″+=0. We derive the characteristic polynomial and discuss how the Principle of Superposition is used to get the general solution. In this section we will a look at some of the theory behind the solution to second order differential equations. We define fundamental sets of solutions and discuss how they can be used to get a general solution to a homogeneous second order differential equation. We will also define the Wronskian and show how it can be used to determine if a pair of solutions are a fundamental set of solutions

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IJARIIE RAMU.S.T. . "SECOND ORDER LINEAR DIFFERENTIAL EQUATION-A STUDY" International Journal Of Advance Research And Innovative Ideas In Education Volume 8 Issue 3 2022 Page 5605-5615
MLA RAMU.S.T. . "SECOND ORDER LINEAR DIFFERENTIAL EQUATION-A STUDY." International Journal Of Advance Research And Innovative Ideas In Education 8.3(2022) : 5605-5615.
APA RAMU.S.T. . (2022). SECOND ORDER LINEAR DIFFERENTIAL EQUATION-A STUDY. International Journal Of Advance Research And Innovative Ideas In Education, 8(3), 5605-5615.
Chicago RAMU.S.T. . "SECOND ORDER LINEAR DIFFERENTIAL EQUATION-A STUDY." International Journal Of Advance Research And Innovative Ideas In Education 8, no. 3 (2022) : 5605-5615.
Oxford RAMU.S.T. . 'SECOND ORDER LINEAR DIFFERENTIAL EQUATION-A STUDY', International Journal Of Advance Research And Innovative Ideas In Education, vol. 8, no. 3, 2022, p. 5605-5615. Available from IJARIIE, https://ijariie.com/AdminUploadPdf/SECOND_ORDER_LINEAR_DIFFERENTIAL_EQUATION_A_STUDY_ijariie21341.pdf (Accessed : 11 August 2023).
Harvard RAMU.S.T. . (2022) 'SECOND ORDER LINEAR DIFFERENTIAL EQUATION-A STUDY', International Journal Of Advance Research And Innovative Ideas In Education, 8(3), pp. 5605-5615IJARIIE [Online]. Available at: https://ijariie.com/AdminUploadPdf/SECOND_ORDER_LINEAR_DIFFERENTIAL_EQUATION_A_STUDY_ijariie21341.pdf (Accessed : 11 August 2023)
IEEE RAMU.S.T. , "SECOND ORDER LINEAR DIFFERENTIAL EQUATION-A STUDY," International Journal Of Advance Research And Innovative Ideas In Education, vol. 8, no. 3, pp. 5605-5615, May-Jun 2022. [Online]. Available: https://ijariie.com/AdminUploadPdf/SECOND_ORDER_LINEAR_DIFFERENTIAL_EQUATION_A_STUDY_ijariie21341.pdf [Accessed : 11 August 2023].
Turabian RAMU.S.T. . "SECOND ORDER LINEAR DIFFERENTIAL EQUATION-A STUDY." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 8 number 3 (11 August 2023).
Vancouver RAMU.S.T. . SECOND ORDER LINEAR DIFFERENTIAL EQUATION-A STUDY. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2022 [Cited : 11 August 2023]; 8(3) : 5605-5615. Available from: https://ijariie.com/AdminUploadPdf/SECOND_ORDER_LINEAR_DIFFERENTIAL_EQUATION_A_STUDY_ijariie21341.pdf
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